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Author: Edmund F. Byrne Publisher: Springer ISBN: Category : Mathematics Languages : en Pages : 372
Book Description
Modern physics has accustomed us to consider events which cannot give rise to certainty in our knowledge. A scientific knowledge of such events is nevertheless possible. The method which has enabled us to obtain a stable and exact knowledge about uncertain events consists in a kind of changing of plane and in the replacing of the study of indi vidual phenomena by the study of statistical aggregates to which those phenomena can give rise. A statistical aggregate is not a collection of real phenomena, among which some would happen more often, others more rarely. It is a set of possibilities relative to a certain object or to a certain type of phenomenon. For example, we could consider the differ ent ways in which a die, thrown in given conditions, can fall: they are the possible results of a certain trial, the casting of the die (in the fore seen conditions). The set of those results constitutes effectively a set of possibilities, relative to a phenomenon of a certain type, the fall of the die in specified circumstances. Similarly, it is possible to consider the different velocities which can affect a molecule in a volume of gas; the set of those velocities constitutes effectively a set of possible values which a physical property, namely the velocity of a molecule, can have.
Author: Edmund F. Byrne Publisher: Springer ISBN: Category : Mathematics Languages : en Pages : 372
Book Description
Modern physics has accustomed us to consider events which cannot give rise to certainty in our knowledge. A scientific knowledge of such events is nevertheless possible. The method which has enabled us to obtain a stable and exact knowledge about uncertain events consists in a kind of changing of plane and in the replacing of the study of indi vidual phenomena by the study of statistical aggregates to which those phenomena can give rise. A statistical aggregate is not a collection of real phenomena, among which some would happen more often, others more rarely. It is a set of possibilities relative to a certain object or to a certain type of phenomenon. For example, we could consider the differ ent ways in which a die, thrown in given conditions, can fall: they are the possible results of a certain trial, the casting of the die (in the fore seen conditions). The set of those results constitutes effectively a set of possibilities, relative to a phenomenon of a certain type, the fall of the die in specified circumstances. Similarly, it is possible to consider the different velocities which can affect a molecule in a volume of gas; the set of those velocities constitutes effectively a set of possible values which a physical property, namely the velocity of a molecule, can have.
Author: Lorraine Daston Publisher: Princeton University Press ISBN: 0691248516 Category : Science Languages : en Pages : 456
Book Description
An award-winning history of the Enlightenment quest to devise a mathematical model of rationality What did it mean to be reasonable in the Age of Reason? Enlightenment mathematicians such as Blaise Pascal, Jakob Bernoulli, and Pierre Simon Laplace sought to answer this question, laboring over a theory of rational decision, action, and belief under conditions of uncertainty. Lorraine Daston brings to life their debates and philosophical arguments, charting the development and application of probability theory by some of the greatest thinkers of the age. Now with an incisive new preface, Classical Probability in the Enlightenment traces the emergence of new kind of mathematics designed to turn good sense into a reasonable calculus.
Author: Jaakko Hintikka Publisher: Springer Science & Business Media ISBN: 940172766X Category : Science Languages : en Pages : 379
Book Description
The two volumes to which this is apreface consist of the Proceedings of the Second International Conference on History and Philosophy of Science. The Conference was organized by the Joint Commission of the International Union of History and Philosophy of Science (IUHPS) under the auspices of the IUHPS, the Italian Society for Logic and Philosophy of Science, and the Domus Galilaeana of Pisa, headed by Professor Vincenzo Cappelletti. Domus Galilaeana also served as the host institution, with some help from the University of Pisa. The Conference took place in Pisa, Italy, on September 4-8, 1978. The editors of these two volumes of the Proceedings of the Pisa Conference acknowledge with gratitude the help by the different sponsoring organizations, and in the first place that by both Divisions of the IUHPS, which made the Conference possible. A special recognition is due to Professor Evandro Agazzi, President of the Italian Society for Logic and Philosophy of Science, who was co opted as an additional member of the Organizing Committee. This committee was otherwise identical with the Joint Commission, whose members were initially John Murdoch, John North, Arpad Szab6, Robert Butts, Jaakko Hintikka, and Vadim Sadovsky. Later, Erwin Hiebert and Lubos Novy were appointed as additional members.
Author: Ronald R. Yager Publisher: Springer ISBN: 354044792X Category : Technology & Engineering Languages : en Pages : 813
Book Description
This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.
Author: Henrik Lagerlund Publisher: Springer Science & Business Media ISBN: 140209728X Category : Philosophy Languages : en Pages : 1448
Book Description
This is the first reference ever devoted to medieval philosophy. It covers all areas of the field from 500-1500 including philosophers, philosophies, key terms and concepts. It also provides analyses of particular theories plus cultural and social contexts.
Author: Marcelo de Araujo Publisher: Walter de Gruyter ISBN: 3110910950 Category : Philosophy Languages : en Pages : 248
Book Description
How much does what we think depend on what we want? Descartes' much-discussed position has often been interpreted to mean that we hold an opinion as the result of a decision. In Scepticism, Freedom and Autonomy, Araujo argues against this interpretation, asserting that we retain control over our opinions only through selective attention. Even for this limited control, however, Cartesian Scepticism implies the possibility of self-delusion, symbolized in the writings of Descartes by the figure of the evil god. Hence, the existence of an evil god would not only cast doubt on our claims to knowledge but also jeopardize our freedom. In this new interpretation, the Cartesian Scepticism, which is usually ascribed only epistemic significance, proves relevant for a fundamental moral question, that of human autonomy in general.
Author: Deborah J. Bennett Publisher: Harvard University Press ISBN: 9780674020771 Category : Philosophy Languages : en Pages : 260
Book Description
From the ancients' first readings of the innards of birds to your neighbor's last bout with the state lottery, humankind has put itself into the hands of chance. Today life itself may be at stake when probability comes into play--in the chance of a false negative in a medical test, in the reliability of DNA findings as legal evidence, or in the likelihood of passing on a deadly congenital disease--yet as few people as ever understand the odds. This book is aimed at the trouble with trying to learn about probability. A story of the misconceptions and difficulties civilization overcame in progressing toward probabilistic thinking, Randomness is also a skillful account of what makes the science of probability so daunting in our own day. To acquire a (correct) intuition of chance is not easy to begin with, and moving from an intuitive sense to a formal notion of probability presents further problems. Author Deborah Bennett traces the path this process takes in an individual trying to come to grips with concepts of uncertainty and fairness, and also charts the parallel path by which societies have developed ideas about chance. Why, from ancient to modern times, have people resorted to chance in making decisions? Is a decision made by random choice fair? What role has gambling played in our understanding of chance? Why do some individuals and societies refuse to accept randomness at all? If understanding randomness is so important to probabilistic thinking, why do the experts disagree about what it really is? And why are our intuitions about chance almost always dead wrong? Anyone who has puzzled over a probability conundrum is struck by the paradoxes and counterintuitive results that occur at a relatively simple level. Why this should be, and how it has been the case through the ages, for bumblers and brilliant mathematicians alike, is the entertaining and enlightening lesson of Randomness.
Author: Amos Edelheit Publisher: BRILL ISBN: 900416667X Category : History Languages : en Pages : 514
Book Description
This book presents a detailed account of Ficinoa (TM)s "De Christiana religione" and of Picoa (TM)s "Apologia," in the context of the evolution of a humanist theology. Focusing on the relations between humanism, theology, and politics, it concludes with the Savonarola affair.
Author: Jingyi Tu Publisher: Transaction Publishers ISBN: 9781412826501 Category : Religion Languages : en Pages : 390
Book Description
This volume deals with the development of Chinese hermeneutics, or exegetic systems, from their beginnings to the twentieth century. The contributors address critical issues in the study of Chinese hermeneutics by focusing on key periods during which the hermeneutic tradition in China underwent significant changes. The volume is divided into six parts, corresponding to the six major periods of intellectual change in traditional and contemporary China. Part 1 considers the foundational period of Chinese hermeneutics, examining Confucian classics such as the Analects, Mencius, and the Book of Odes. Part 2 traces the broadening of the hermeneutic tradition from Confucian classics to the military canon, political discourse, astronomy, and Buddhist exegesis from the Han to the Chinese Middle Ages. In Part 3 the focus is on Zhu Xi's monumental synthesis and redefinition of the Confucian tradition at the beginning of the early modern period. His vision of Confucian thought remained influential throughout the imperial period, and his interpretations of the Confucian classics became state orthodoxy starting with the thirteenth century. Part 4 focuses on this challenge and discusses the intellectual changes that took place during the late imperial period and their profound effects on Chinese hermeneutics. Part 5 documents the challenges to traditional Chinese hermeneutics in the modern era and the emergence of a new, critical hermeneutics in the beginning of the twentieth century. The volume concludes with Part 6, which explores Chinese hermeneutics from a comparative perspective and identifies its distinctive features. The understanding of Chinese hermeneutics gained from these essays is that of a dynamic plurality of traditions that has endured into the twentieth century and continues to shape contemporary intellectual debates. Ching-I Tu is professor and chairperson in the Department of Asian Languages and Cultures at Rutgers University in New Brunswick, New Jersey. He is the author of Poetic Remarks in the Human World, and editor of Tradition and Creativity: Essays on East Asian Civilization and Classics and Interpretations: The Hermeneutic Tradition in Chinese Culture, both published by Transaction.
Author: Marc van der Poel Publisher: BRILL ISBN: 9004247319 Category : History Languages : en Pages : 316
Book Description
This study, based on a fresh reading of the entire correspondence, the surviving orations, declamations and other relevant treatises, contains an innovative interpretation of the philosophical and theological thought of Henry Cornelius Agrippa of Nettesheim (1486-1535). The first chapters contain a close study of his controversy with the scholastic theologians, which Agrippa carried on throughout his life, particularly with the theologians of Louvain University. Detailed analyses of Agrippa's declamations are included in the second part of the book. The chapter on the humanist declamation offers a new approach to the interpretation of rhetorical texts in the heyday of learned humanism in Northern Europe; in this context, special attention is paid to Agrippa's indebtedness to Erasmus. Throughout the book, Agrippa emerges as an important intermediary between scholasticism and humanism, and a strong opponent of the professional theologians of his time.
Author: Edmund F. Byrne
Author: Edmund F. Byrne
Author: Lorraine Daston
Author: Jaakko Hintikka
Author: Ronald R. Yager
Author: Henrik Lagerlund
Author: Marcelo de Araujo
Author: Deborah J. Bennett
Author: Amos Edelheit
Author: Jingyi Tu
Author: Marc van der Poel